Many teachers find it hard to explain the laws of sign of integers. Mathematics is a science of patterns, so +2 × +3 = +6 suggests –2 × –3 = –6, yet this is not so. Multiplicative pedagogies such as repeated addition, equal groups, arrays, and area models fail on the Integers. One cannot add a number of objects a negative number of times, nor have a negative number of groups, nor a negative number of rows, nor an area less than zero. Division has a repeated subtraction model and an equal shares model, yet without citing sign laws, teachers cannot explain how to solve +6 ÷ –3. There are no negative threes in positive six and you cannot divide six into negative three groups. So, I introduce new games in a play featuring a multi-cultural group of famous mathematicians as children. Informed by the original writings of great thinkers, I found and fixed enduring flaws in the teaching of elementary mathematics.

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